Question

Use the equation y−6=x4
to fill in the missing values in the table below.

x y
32 14
12
0
4
-3

Answer 1

I can’t be sure which column those numbers belong to from the formatting. The equation is y − 6 = x^4, so y = x^4 + 6. Two useful cases:

- If the given numbers are x-values, compute y = x^4 + 6:
- x = 3 → y = 3^4 + 6 = 81 + 6 = 87
- x = 2 → y = 2^4 + 6 = 16 + 6 = 22
- x = 1 → y = 1 + 6 = 7
- x = 0 → y = 0 + 6 = 6
- x = 4 → y = 256 + 6 = 262
- x = −3 → y = (−3)^4 + 6 = 81 + 6 = 87

- If the given numbers are y-values and you need x, solve x^4 = y − 6:
- y = 14 → x^4 = 8 → x = ±8^(1/4) ≈ ±1.68179
- y = 4 → x^4 = −2 → no real solution
- y = −3 → x^4 = −9 → no real solution

If you repost the table with a clear column separation (which numbers are x and which are y), I’ll fill in the exact missing entries.